Abstract
The unified theory of gears is explained through the base equations and its 3 examples of application At first, the problems of the present theories are presented and the coordinate systems and the base equations of the unified theory to solve them are explained. Then as the first application, a path of contact with no variation of bearing loads is obtained, which is a straight line coinciding with the contact normal with no transmission error and it is clarified that the most practical pair of tooth surfaces is the involute helicoid and its conjugate one to realize the path of contact. As the second one, a design example and its trial product of an hypoid gear pair with involute helicoids to realize the path of contact are presented. As the last one, the calculation method of the dynamic incremental loads and its example to be applied to helical gears are explained with the experimental result for verification.
